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Finding the Fourth Proportional to 206,512.52, 309,881.66 and 80,157.78

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Solution

The fourth proportional to 206,512.52, 309,881.66 and 80,157.78 is: 120,280.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,512.52 : 309,881.66 = 80,157.78 : x
  2. Step 2: Convert to fraction form
    206,512.52/309,881.66 = 80,157.78/x
  3. Step 3: Cross multiply
    206,512.52x = 309,881.66 × 80,157.78
  4. Step 4: Simplify right side
    206,512.52x = 24,839,425,928.31
  5. Step 5: Solve for x
    x = 24,839,425,928.31/206,512.52
  6. Step 6: Final answer
    x = 120,280.48

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.